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Module 1: Normal distribution

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XSIQ
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Intermediate Mathematics - The normal curve

The normal curve

A series of tests was given to a large number of students and the results
of these tests were combined to obtain a Verbal Aptitude score for each
student.

For the whole group it was found that:

Mean = 595, and

Standard Deviation = 73.

Samples of increasing size (200, 500, 1000, and 5000) were taken and the
scores for each sample graphed as a histogram.

As the sample size increased the distribution became more symmetrical and
approached the shape of the normal curve.

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